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Finding the Fourth Proportional to 142,328.22, 196,410.87 and 85,770.78

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Solution

The fourth proportional to 142,328.22, 196,410.87 and 85,770.78 is: 118,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,328.22 : 196,410.87 = 85,770.78 : x
  2. Step 2: Convert to fraction form
    142,328.22/196,410.87 = 85,770.78/x
  3. Step 3: Cross multiply
    142,328.22x = 196,410.87 × 85,770.78
  4. Step 4: Simplify right side
    142,328.22x = 16,846,313,520.38
  5. Step 5: Solve for x
    x = 16,846,313,520.38/142,328.22
  6. Step 6: Final answer
    x = 118,362.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.